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-rw-r--r-- | doc/documentation.tex | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex index ec8d709..504bd31 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -182,7 +182,7 @@ so that there are no misunderstandings between thorns a specific set of units is suggested. These units are derived from the conventions \begin{eqnarray} - M_\mathrm{sun} = 1 &;& c = G = 1 + M_{\mathrm{sun}} = 1 &;& c = G = 1 \end{eqnarray} which are commonly used in astrophysics and in relativity. The former sets the mass scale to the solar one and the latter @@ -198,13 +198,13 @@ We assume the following definitions and constants of nature: \\ \epsilon_0 & = & \frac{1}{\mu_0 c^2} \\ - M_\mathrm{sun} & = & 1.98892\cdot10^{30}\, \mathrm{kg} + M_{\mathrm{sun}} & = & 1.98892\cdot10^{30}\, \mathrm{kg} \end{eqnarray} This corresponds to the following units for mass, length, time, and magnetic field: \begin{eqnarray} - [M] & = & M_\mathrm{sun} + [M] & = & M_{\mathrm{sun}} \\{} [L] & = & [M]\; G/c^2 \\{} @@ -216,11 +216,11 @@ magnetic field: Inserting the SI units into the above unit correspondences, we find the following conversion factors: \begin{eqnarray} - [L] & = & 1\, M_\mathrm{sun} \equiv 1.477\, \mathrm{km} + [L] & = & 1\, M_{\mathrm{sun}} \equiv 1.477\, \mathrm{km} \\{} - [T] & = & 1\, M_\mathrm{sun} \equiv 4.92673\, \mathrm{\mu s} + [T] & = & 1\, M_{\mathrm{sun}} \equiv 4.92673\, \mathrm{\mu s} \\{} - [B] & = & 1\, \sqrt{\mu_0} /M_\mathrm{sun} \equiv 8.344956\cdot 10^{15}\, \mathrm{T}, + [B] & = & 1\, \sqrt{\mu_0} /M_{\mathrm{sun}} \equiv 8.344956\cdot 10^{15}\, \mathrm{T}, \end{eqnarray} where T (Tesla) is the magnetic field unit in SI, $1\,\mathrm{T}=1\,\mathrm{N/(A\cdot m)}$, or in its cgs equivalent, |